Gabrielle and her friends are at an arcade and are redeeming their tickets for prizes. The number of prizes they can get is calculated based on how many tickets they have won. $\newline$ $p =$ the number of prizes the friends can get $\newline$ $t =$ the number of tickets the friends have won $\newline$ Which of the variables is independent and which is dependent? $\newline$ Choices: $\newline$ (A) $p$ is the independent variable and $t$ is the dependent variable $\newline$ (B) $t$ is the independent variable and $p$ is the dependent variable

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Algebra 1

Identify independent and dependent variables

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Q. Gabrielle and her friends are at an arcade and are redeeming their tickets for prizes. The number of prizes they can get is calculated based on how many tickets they have won.

\newline

p =

the number of prizes the friends can get

\newline

t =

the number of tickets the friends have won

\newline

Which of the variables is independent and which is dependent?

\newline

Choices:

\newline

(A)

p

is the independent variable and

t

is the dependent variable

\newline

(B)

t

is the independent variable and

p

is the dependent variable

Determine relationship: Determine the relationship between the number of prizes $p$ and the number of tickets $t$ . The number of prizes that can be redeemed depends on the number of tickets won. Therefore, the number of tickets is the cause, and the number of prizes is the effect.
Identify independent variable: Identify the independent variable. The independent variable is the one that is not affected by the other variable. In this case, the number of tickets won $t$ does not depend on the number of prizes $p$ , so $t$ is the independent variable.
Identify dependent variable: Identify the dependent variable. The dependent variable is the one that depends on the independent variable. Since the number of prizes $p$ that can be redeemed depends on the number of tickets won $t$ , $p$ is the dependent variable.
Choose correct answer: Choose the correct answer choice based on the identification of independent and dependent variables. Since $t$ is the independent variable and $p$ is the dependent variable, the correct choice is (B) $t$ is the independent variable and $p$ is the dependent variable.